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Finding the Fourth Proportional to 726.80, 983.10 and 726.80

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Solution

The fourth proportional to 726.80, 983.10 and 726.80 is: 983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.80 : 983.10 = 726.80 : x
  2. Step 2: Convert to fraction form
    726.80/983.10 = 726.80/x
  3. Step 3: Cross multiply
    726.80x = 983.10 × 726.80
  4. Step 4: Simplify right side
    726.80x = 714,517.08
  5. Step 5: Solve for x
    x = 714,517.08/726.80
  6. Step 6: Final answer
    x = 983.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.